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<p>This paper continues the study of Hurwitz series rings, represented as <i>HR</i>, with <i>R</i> being a commutative ring. It identifies the necessary and sufficient conditions for <i>HR</i> to fulfill various ideal properties, including (quasi) <i>J</i>-ideals, 2-absorbing ideals, <i>r</i>-ideals, and prime ideals. Examples to illustrate and delimit the theory are provided.</p>

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A Study of Some Ideal Types in Hurwitz Series Rings

  • 期刊论文

  • 发表日期：

    2025年8月26日

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  • Kamal Paykan

摘要

This paper continues the study of Hurwitz series rings, represented as HR, with R being a commutative ring. It identifies the necessary and sufficient conditions for HR to fulfill various ideal properties, including (quasi) J-ideals, 2-absorbing ideals, r-ideals, and prime ideals. Examples to illustrate and delimit the theory are provided.